Properties

Label 475.2.bi.a.117.46
Level $475$
Weight $2$
Character 475.117
Analytic conductor $3.793$
Analytic rank $0$
Dimension $2304$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 475 = 5^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 475.bi (of order \(180\), degree \(48\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.79289409601\)
Analytic rank: \(0\)
Dimension: \(2304\)
Relative dimension: \(48\) over \(\Q(\zeta_{180})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{180}]$

Embedding invariants

Embedding label 117.46
Character \(\chi\) \(=\) 475.117
Dual form 475.2.bi.a.203.46

$q$-expansion

\(f(q)\) \(=\) \(q+(1.02238 + 2.40858i) q^{2} +(-2.61303 + 0.507921i) q^{3} +(-3.36668 + 3.48630i) q^{4} +(-2.13894 - 0.651867i) q^{5} +(-3.89488 - 5.77439i) q^{6} +(-1.09276 + 4.07822i) q^{7} +(-6.95347 - 2.66919i) q^{8} +(3.78837 - 1.53060i) q^{9} +O(q^{10})\) \(q+(1.02238 + 2.40858i) q^{2} +(-2.61303 + 0.507921i) q^{3} +(-3.36668 + 3.48630i) q^{4} +(-2.13894 - 0.651867i) q^{5} +(-3.89488 - 5.77439i) q^{6} +(-1.09276 + 4.07822i) q^{7} +(-6.95347 - 2.66919i) q^{8} +(3.78837 - 1.53060i) q^{9} +(-0.616740 - 5.81827i) q^{10} +(3.20081 + 0.680353i) q^{11} +(7.02645 - 10.8198i) q^{12} +(1.12128 - 0.137675i) q^{13} +(-10.9399 + 1.53751i) q^{14} +(5.92021 + 0.616933i) q^{15} +(-0.341866 - 9.78977i) q^{16} +(1.62579 - 2.70577i) q^{17} +(7.55974 + 7.55974i) q^{18} +(-4.07989 + 1.53444i) q^{19} +(9.47373 - 5.26236i) q^{20} +(0.783987 - 11.2115i) q^{21} +(1.63376 + 8.40498i) q^{22} +(-1.04400 + 3.41476i) q^{23} +(19.5253 + 3.44284i) q^{24} +(4.15014 + 2.78861i) q^{25} +(1.47798 + 2.55993i) q^{26} +(-2.42423 + 1.57431i) q^{27} +(-10.5389 - 17.5397i) q^{28} +(2.20289 - 8.83532i) q^{29} +(4.56678 + 14.8900i) q^{30} +(-6.77803 - 0.712400i) q^{31} +(9.72926 - 4.53683i) q^{32} +(-8.70936 - 0.152022i) q^{33} +(8.17923 + 1.14952i) q^{34} +(4.99580 - 8.01075i) q^{35} +(-7.41809 + 18.3604i) q^{36} +(2.75789 + 5.41267i) q^{37} +(-7.86703 - 8.25795i) q^{38} +(-2.86000 + 0.929269i) q^{39} +(13.1331 + 10.2420i) q^{40} +(-9.56524 + 0.334025i) q^{41} +(27.8054 - 9.57417i) q^{42} +(-1.00961 - 1.44187i) q^{43} +(-13.1480 + 8.86844i) q^{44} +(-9.10085 + 0.804352i) q^{45} +(-9.29209 + 0.976638i) q^{46} +(-6.64401 + 3.99212i) q^{47} +(5.86573 + 25.4073i) q^{48} +(-9.37561 - 5.41301i) q^{49} +(-2.47357 + 12.8470i) q^{50} +(-2.87391 + 7.89601i) q^{51} +(-3.29500 + 4.37261i) q^{52} +(0.0581130 + 3.32929i) q^{53} +(-6.27035 - 4.22941i) q^{54} +(-6.40284 - 3.54174i) q^{55} +(18.4840 - 25.4410i) q^{56} +(9.88148 - 6.08180i) q^{57} +(23.5328 - 3.72722i) q^{58} +(6.62046 - 4.13692i) q^{59} +(-22.0822 + 18.5626i) q^{60} +(4.79180 - 2.54785i) q^{61} +(-5.21386 - 17.0538i) q^{62} +(2.10237 + 17.1224i) q^{63} +(6.31502 + 5.68607i) q^{64} +(-2.48809 - 0.436443i) q^{65} +(-8.53813 - 21.1326i) q^{66} +(-5.86611 + 6.74819i) q^{67} +(3.95960 + 14.7774i) q^{68} +(0.993564 - 9.45313i) q^{69} +(24.4021 + 3.84275i) q^{70} +(3.09434 - 1.50921i) q^{71} +(-30.4278 + 0.531119i) q^{72} +(-6.29419 - 0.772829i) q^{73} +(-10.2172 + 12.1764i) q^{74} +(-12.2608 - 5.17877i) q^{75} +(8.38614 - 19.3897i) q^{76} +(-6.27234 + 12.3102i) q^{77} +(-5.16223 - 5.93846i) q^{78} +(8.93542 - 13.2473i) q^{79} +(-5.65040 + 21.1626i) q^{80} +(-3.28247 + 3.16985i) q^{81} +(-10.5838 - 22.6971i) q^{82} +(3.82737 + 4.72641i) q^{83} +(36.4473 + 40.4788i) q^{84} +(-5.24127 + 4.72768i) q^{85} +(2.44065 - 3.90586i) q^{86} +(-1.26857 + 24.2058i) q^{87} +(-20.4407 - 13.2744i) q^{88} +(-0.327396 + 9.37540i) q^{89} +(-11.2419 - 21.0978i) q^{90} +(-0.663811 + 4.72326i) q^{91} +(-8.39007 - 15.1361i) q^{92} +(18.0730 - 1.58118i) q^{93} +(-16.4081 - 11.9212i) q^{94} +(9.72689 - 0.622542i) q^{95} +(-23.1185 + 16.7965i) q^{96} +(-2.11279 + 1.83662i) q^{97} +(3.45222 - 28.1161i) q^{98} +(13.1672 - 2.32173i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 2304q - 48q^{2} - 48q^{3} - 60q^{4} - 48q^{5} - 36q^{6} - 30q^{7} - 72q^{8} - 60q^{9} + O(q^{10}) \) \( 2304q - 48q^{2} - 48q^{3} - 60q^{4} - 48q^{5} - 36q^{6} - 30q^{7} - 72q^{8} - 60q^{9} - 48q^{10} - 18q^{11} - 72q^{12} - 48q^{13} - 60q^{14} - 66q^{15} - 36q^{16} - 30q^{17} - 60q^{19} - 36q^{20} - 36q^{21} - 156q^{22} - 120q^{23} - 72q^{25} - 48q^{26} - 72q^{27} - 60q^{28} - 24q^{30} - 54q^{31} - 78q^{32} - 90q^{33} - 60q^{34} - 30q^{35} - 36q^{36} - 204q^{38} - 120q^{39} + 36q^{40} - 36q^{41} - 84q^{42} + 132q^{43} - 60q^{44} - 42q^{45} - 54q^{46} + 84q^{47} - 120q^{48} - 216q^{50} - 96q^{51} - 30q^{53} - 60q^{54} - 78q^{55} - 234q^{57} - 240q^{58} + 60q^{59} - 144q^{60} - 36q^{61} + 180q^{62} + 66q^{63} - 30q^{64} + 288q^{65} - 108q^{66} - 168q^{67} - 48q^{68} - 90q^{69} - 96q^{70} - 36q^{71} - 528q^{72} - 66q^{73} - 96q^{76} - 288q^{77} + 168q^{78} - 60q^{79} - 420q^{80} - 36q^{81} - 120q^{82} + 90q^{83} + 990q^{84} + 96q^{85} - 36q^{86} + 216q^{87} + 108q^{88} - 60q^{89} - 240q^{90} - 36q^{91} + 312q^{92} + 30q^{93} - 36q^{95} - 72q^{96} + 12q^{97} - 30q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/475\mathbb{Z}\right)^\times\).

\(n\) \(77\) \(401\)
\(\chi(n)\) \(e\left(\frac{13}{20}\right)\) \(e\left(\frac{13}{18}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.02238 + 2.40858i 0.722933 + 1.70312i 0.710997 + 0.703195i \(0.248244\pi\)
0.0119356 + 0.999929i \(0.496201\pi\)
\(3\) −2.61303 + 0.507921i −1.50863 + 0.293248i −0.876420 0.481548i \(-0.840075\pi\)
−0.632211 + 0.774796i \(0.717853\pi\)
\(4\) −3.36668 + 3.48630i −1.68334 + 1.74315i
\(5\) −2.13894 0.651867i −0.956564 0.291524i
\(6\) −3.89488 5.77439i −1.59008 2.35739i
\(7\) −1.09276 + 4.07822i −0.413023 + 1.54142i 0.375739 + 0.926725i \(0.377389\pi\)
−0.788763 + 0.614698i \(0.789278\pi\)
\(8\) −6.95347 2.66919i −2.45842 0.943700i
\(9\) 3.78837 1.53060i 1.26279 0.510200i
\(10\) −0.616740 5.81827i −0.195030 1.83990i
\(11\) 3.20081 + 0.680353i 0.965080 + 0.205134i 0.663392 0.748272i \(-0.269116\pi\)
0.301689 + 0.953407i \(0.402450\pi\)
\(12\) 7.02645 10.8198i 2.02836 3.12340i
\(13\) 1.12128 0.137675i 0.310986 0.0381843i 0.0351285 0.999383i \(-0.488816\pi\)
0.275858 + 0.961199i \(0.411038\pi\)
\(14\) −10.9399 + 1.53751i −2.92382 + 0.410916i
\(15\) 5.92021 + 0.616933i 1.52859 + 0.159291i
\(16\) −0.341866 9.78977i −0.0854666 2.44744i
\(17\) 1.62579 2.70577i 0.394312 0.656245i −0.594723 0.803931i \(-0.702738\pi\)
0.989034 + 0.147686i \(0.0471825\pi\)
\(18\) 7.55974 + 7.55974i 1.78185 + 1.78185i
\(19\) −4.07989 + 1.53444i −0.935990 + 0.352026i
\(20\) 9.47373 5.26236i 2.11839 1.17670i
\(21\) 0.783987 11.2115i 0.171080 2.44656i
\(22\) 1.63376 + 8.40498i 0.348320 + 1.79195i
\(23\) −1.04400 + 3.41476i −0.217689 + 0.712027i 0.778722 + 0.627370i \(0.215868\pi\)
−0.996410 + 0.0846575i \(0.973020\pi\)
\(24\) 19.5253 + 3.44284i 3.98559 + 0.702767i
\(25\) 4.15014 + 2.78861i 0.830028 + 0.557722i
\(26\) 1.47798 + 2.55993i 0.289855 + 0.502043i
\(27\) −2.42423 + 1.57431i −0.466544 + 0.302977i
\(28\) −10.5389 17.5397i −1.99167 3.31470i
\(29\) 2.20289 8.83532i 0.409067 1.64068i −0.313654 0.949537i \(-0.601553\pi\)
0.722721 0.691140i \(-0.242891\pi\)
\(30\) 4.56678 + 14.8900i 0.833776 + 2.71854i
\(31\) −6.77803 0.712400i −1.21737 0.127951i −0.526021 0.850472i \(-0.676317\pi\)
−0.691349 + 0.722521i \(0.742983\pi\)
\(32\) 9.72926 4.53683i 1.71991 0.802005i
\(33\) −8.70936 0.152022i −1.51611 0.0264637i
\(34\) 8.17923 + 1.14952i 1.40273 + 0.197140i
\(35\) 4.99580 8.01075i 0.844444 1.35406i
\(36\) −7.41809 + 18.3604i −1.23635 + 3.06007i
\(37\) 2.75789 + 5.41267i 0.453394 + 0.889837i 0.998669 + 0.0515791i \(0.0164254\pi\)
−0.545274 + 0.838258i \(0.683575\pi\)
\(38\) −7.86703 8.25795i −1.27620 1.33962i
\(39\) −2.86000 + 0.929269i −0.457966 + 0.148802i
\(40\) 13.1331 + 10.2420i 2.07653 + 1.61940i
\(41\) −9.56524 + 0.334025i −1.49384 + 0.0521660i −0.770107 0.637915i \(-0.779797\pi\)
−0.723732 + 0.690081i \(0.757575\pi\)
\(42\) 27.8054 9.57417i 4.29047 1.47733i
\(43\) −1.00961 1.44187i −0.153964 0.219883i 0.734759 0.678328i \(-0.237295\pi\)
−0.888723 + 0.458446i \(0.848406\pi\)
\(44\) −13.1480 + 8.86844i −1.98214 + 1.33697i
\(45\) −9.10085 + 0.804352i −1.35667 + 0.119906i
\(46\) −9.29209 + 0.976638i −1.37004 + 0.143997i
\(47\) −6.64401 + 3.99212i −0.969129 + 0.582311i −0.909409 0.415904i \(-0.863465\pi\)
−0.0597201 + 0.998215i \(0.519021\pi\)
\(48\) 5.86573 + 25.4073i 0.846646 + 3.66723i
\(49\) −9.37561 5.41301i −1.33937 0.773287i
\(50\) −2.47357 + 12.8470i −0.349815 + 1.81684i
\(51\) −2.87391 + 7.89601i −0.402428 + 1.10566i
\(52\) −3.29500 + 4.37261i −0.456934 + 0.606372i
\(53\) 0.0581130 + 3.32929i 0.00798243 + 0.457313i 0.977342 + 0.211667i \(0.0678891\pi\)
−0.969359 + 0.245647i \(0.921000\pi\)
\(54\) −6.27035 4.22941i −0.853287 0.575549i
\(55\) −6.40284 3.54174i −0.863359 0.477568i
\(56\) 18.4840 25.4410i 2.47003 3.39970i
\(57\) 9.88148 6.08180i 1.30883 0.805554i
\(58\) 23.5328 3.72722i 3.09000 0.489408i
\(59\) 6.62046 4.13692i 0.861911 0.538581i −0.0254403 0.999676i \(-0.508099\pi\)
0.887351 + 0.461095i \(0.152543\pi\)
\(60\) −22.0822 + 18.5626i −2.85080 + 2.39642i
\(61\) 4.79180 2.54785i 0.613527 0.326218i −0.133462 0.991054i \(-0.542610\pi\)
0.746990 + 0.664836i \(0.231498\pi\)
\(62\) −5.21386 17.0538i −0.662161 2.16583i
\(63\) 2.10237 + 17.1224i 0.264873 + 2.15722i
\(64\) 6.31502 + 5.68607i 0.789378 + 0.710759i
\(65\) −2.48809 0.436443i −0.308610 0.0541342i
\(66\) −8.53813 21.1326i −1.05097 2.60125i
\(67\) −5.86611 + 6.74819i −0.716659 + 0.824422i −0.990523 0.137346i \(-0.956143\pi\)
0.273864 + 0.961768i \(0.411698\pi\)
\(68\) 3.95960 + 14.7774i 0.480172 + 1.79203i
\(69\) 0.993564 9.45313i 0.119611 1.13802i
\(70\) 24.4021 + 3.84275i 2.91661 + 0.459296i
\(71\) 3.09434 1.50921i 0.367231 0.179110i −0.245511 0.969394i \(-0.578956\pi\)
0.612741 + 0.790284i \(0.290067\pi\)
\(72\) −30.4278 + 0.531119i −3.58595 + 0.0625929i
\(73\) −6.29419 0.772829i −0.736679 0.0904528i −0.255173 0.966895i \(-0.582132\pi\)
−0.481506 + 0.876443i \(0.659910\pi\)
\(74\) −10.2172 + 12.1764i −1.18773 + 1.41548i
\(75\) −12.2608 5.17877i −1.41576 0.597993i
\(76\) 8.38614 19.3897i 0.961956 2.22415i
\(77\) −6.27234 + 12.3102i −0.714799 + 1.40287i
\(78\) −5.16223 5.93846i −0.584507 0.672399i
\(79\) 8.93542 13.2473i 1.00531 1.49044i 0.139404 0.990236i \(-0.455481\pi\)
0.865909 0.500202i \(-0.166741\pi\)
\(80\) −5.65040 + 21.1626i −0.631734 + 2.36605i
\(81\) −3.28247 + 3.16985i −0.364719 + 0.352205i
\(82\) −10.5838 22.6971i −1.16879 2.50648i
\(83\) 3.82737 + 4.72641i 0.420108 + 0.518790i 0.942632 0.333834i \(-0.108343\pi\)
−0.522524 + 0.852625i \(0.675009\pi\)
\(84\) 36.4473 + 40.4788i 3.97673 + 4.41660i
\(85\) −5.24127 + 4.72768i −0.568495 + 0.512789i
\(86\) 2.44065 3.90586i 0.263182 0.421180i
\(87\) −1.26857 + 24.2058i −0.136005 + 2.59514i
\(88\) −20.4407 13.2744i −2.17899 1.41505i
\(89\) −0.327396 + 9.37540i −0.0347039 + 0.993791i 0.849757 + 0.527175i \(0.176749\pi\)
−0.884460 + 0.466615i \(0.845473\pi\)
\(90\) −11.2419 21.0978i −1.18500 2.22390i
\(91\) −0.663811 + 4.72326i −0.0695863 + 0.495132i
\(92\) −8.39007 15.1361i −0.874725 1.57805i
\(93\) 18.0730 1.58118i 1.87408 0.163961i
\(94\) −16.4081 11.9212i −1.69236 1.22957i
\(95\) 9.72689 0.622542i 0.997958 0.0638715i
\(96\) −23.1185 + 16.7965i −2.35952 + 1.71429i
\(97\) −2.11279 + 1.83662i −0.214522 + 0.186481i −0.756660 0.653808i \(-0.773170\pi\)
0.542139 + 0.840289i \(0.317615\pi\)
\(98\) 3.45222 28.1161i 0.348727 2.84015i
\(99\) 13.1672 2.32173i 1.32335 0.233343i
\(100\) −23.6941 + 5.08026i −2.36941 + 0.508026i
\(101\) −4.95357 1.80295i −0.492899 0.179400i 0.0835985 0.996500i \(-0.473359\pi\)
−0.576497 + 0.817099i \(0.695581\pi\)
\(102\) −21.9564 + 1.15069i −2.17401 + 0.113935i
\(103\) 0.330279 0.407861i 0.0325434 0.0401877i −0.760614 0.649204i \(-0.775102\pi\)
0.793158 + 0.609016i \(0.208436\pi\)
\(104\) −8.16424 2.03557i −0.800570 0.199604i
\(105\) −8.98533 + 23.4698i −0.876879 + 2.29041i
\(106\) −7.95945 + 3.54378i −0.773090 + 0.344202i
\(107\) 2.35013 + 0.629717i 0.227196 + 0.0608770i 0.370621 0.928784i \(-0.379145\pi\)
−0.143425 + 0.989661i \(0.545812\pi\)
\(108\) 2.67308 13.7518i 0.257217 1.32327i
\(109\) 1.55051 + 0.824423i 0.148512 + 0.0789654i 0.542065 0.840337i \(-0.317643\pi\)
−0.393552 + 0.919302i \(0.628754\pi\)
\(110\) 1.98441 19.0428i 0.189206 1.81566i
\(111\) −9.95565 12.7426i −0.944948 1.20948i
\(112\) 40.2984 + 9.30363i 3.80785 + 0.879110i
\(113\) 2.98110 1.51895i 0.280438 0.142890i −0.308114 0.951349i \(-0.599698\pi\)
0.588553 + 0.808459i \(0.299698\pi\)
\(114\) 24.7511 + 17.5824i 2.31816 + 1.64674i
\(115\) 4.45902 6.62343i 0.415806 0.617638i
\(116\) 23.3861 + 37.4256i 2.17135 + 3.47488i
\(117\) 4.03709 2.23779i 0.373229 0.206884i
\(118\) 16.7327 + 11.7164i 1.54037 + 1.07858i
\(119\) 9.25813 + 9.58707i 0.848691 + 0.878846i
\(120\) −39.5193 20.0920i −3.60760 1.83414i
\(121\) −0.266704 0.118744i −0.0242458 0.0107949i
\(122\) 11.0357 + 8.93657i 0.999129 + 0.809079i
\(123\) 24.8246 5.73120i 2.23835 0.516765i
\(124\) 25.3031 21.2318i 2.27228 1.90667i
\(125\) −7.05910 8.67001i −0.631385 0.775469i
\(126\) −39.0912 + 22.5693i −3.48252 + 2.01064i
\(127\) −4.54870 4.87788i −0.403632 0.432842i 0.496783 0.867875i \(-0.334515\pi\)
−0.900415 + 0.435033i \(0.856737\pi\)
\(128\) −0.249018 + 0.723201i −0.0220103 + 0.0639225i
\(129\) 3.37048 + 3.25484i 0.296755 + 0.286573i
\(130\) −1.49257 6.43898i −0.130907 0.564736i
\(131\) 3.19393 + 12.8101i 0.279055 + 1.11923i 0.932185 + 0.361982i \(0.117900\pi\)
−0.653130 + 0.757246i \(0.726545\pi\)
\(132\) 29.8516 29.8516i 2.59825 2.59825i
\(133\) −1.79948 18.3155i −0.156035 1.58815i
\(134\) −22.2509 7.22977i −1.92219 0.624557i
\(135\) 6.21153 1.78709i 0.534604 0.153808i
\(136\) −18.5271 + 14.4749i −1.58868 + 1.24122i
\(137\) −8.21760 10.9051i −0.702077 0.931688i 0.297659 0.954672i \(-0.403794\pi\)
−0.999736 + 0.0229845i \(0.992683\pi\)
\(138\) 23.7844 7.27163i 2.02466 0.619002i
\(139\) −9.81969 0.342911i −0.832895 0.0290853i −0.384722 0.923032i \(-0.625703\pi\)
−0.448173 + 0.893947i \(0.647925\pi\)
\(140\) 11.1086 + 44.3864i 0.938847 + 3.75134i
\(141\) 15.3333 13.8062i 1.29130 1.16269i
\(142\) 6.79865 + 5.90998i 0.570530 + 0.495954i
\(143\) 3.68266 + 0.322191i 0.307959 + 0.0269430i
\(144\) −16.2794 36.5640i −1.35661 3.04700i
\(145\) −10.4713 + 17.4622i −0.869595 + 1.45016i
\(146\) −4.57364 15.9502i −0.378517 1.32005i
\(147\) 27.2481 + 9.38227i 2.24738 + 0.773837i
\(148\) −28.1551 8.60787i −2.31433 0.707563i
\(149\) 2.48201 + 6.81926i 0.203334 + 0.558656i 0.998884 0.0472323i \(-0.0150401\pi\)
−0.795550 + 0.605888i \(0.792818\pi\)
\(150\) −0.0617507 34.8258i −0.00504192 2.84352i
\(151\) 21.3829i 1.74012i 0.492949 + 0.870058i \(0.335919\pi\)
−0.492949 + 0.870058i \(0.664081\pi\)
\(152\) 32.4651 + 0.220271i 2.63327 + 0.0178663i
\(153\) 2.01764 12.7389i 0.163117 1.02988i
\(154\) −36.0627 2.52175i −2.90602 0.203208i
\(155\) 14.0334 + 5.94215i 1.12719 + 0.477285i
\(156\) 6.38898 13.0993i 0.511528 1.04879i
\(157\) −5.16947 + 3.61970i −0.412568 + 0.288883i −0.761376 0.648311i \(-0.775476\pi\)
0.348807 + 0.937194i \(0.386587\pi\)
\(158\) 41.0426 + 7.97787i 3.26517 + 0.634685i
\(159\) −1.84287 8.67001i −0.146149 0.687576i
\(160\) −23.7677 + 3.36183i −1.87900 + 0.265776i
\(161\) −12.7853 7.98916i −1.00762 0.629634i
\(162\) −10.9908 4.66531i −0.863517 0.366541i
\(163\) −14.2968 0.749264i −1.11981 0.0586869i −0.516570 0.856245i \(-0.672792\pi\)
−0.603243 + 0.797558i \(0.706125\pi\)
\(164\) 31.0386 34.4718i 2.42370 2.69180i
\(165\) 18.5297 + 6.00251i 1.44254 + 0.467295i
\(166\) −7.47090 + 14.0507i −0.579854 + 1.09055i
\(167\) −0.861195 2.50109i −0.0666413 0.193540i 0.907233 0.420629i \(-0.138190\pi\)
−0.973874 + 0.227088i \(0.927079\pi\)
\(168\) −35.3771 + 75.8665i −2.72940 + 5.85322i
\(169\) −11.3755 + 2.83624i −0.875041 + 0.218172i
\(170\) −16.7456 7.79052i −1.28433 0.597506i
\(171\) −13.1075 + 12.0577i −1.00236 + 0.922077i
\(172\) 8.42580 + 1.33452i 0.642461 + 0.101756i
\(173\) 11.7617 4.99253i 0.894222 0.379575i 0.105568 0.994412i \(-0.466334\pi\)
0.788654 + 0.614837i \(0.210778\pi\)
\(174\) −59.5986 + 21.6921i −4.51816 + 1.64448i
\(175\) −15.9077 + 13.8779i −1.20251 + 1.04907i
\(176\) 5.56625 31.5678i 0.419572 2.37951i
\(177\) −15.1982 + 14.1726i −1.14237 + 1.06527i
\(178\) −22.9161 + 8.79668i −1.71764 + 0.659339i
\(179\) 0.348180 + 3.31271i 0.0260242 + 0.247603i 0.999798 + 0.0200863i \(0.00639411\pi\)
−0.973774 + 0.227517i \(0.926939\pi\)
\(180\) 27.8354 34.4363i 2.07473 2.56673i
\(181\) −0.804666 11.5073i −0.0598103 0.855328i −0.931147 0.364643i \(-0.881191\pi\)
0.871337 0.490685i \(-0.163253\pi\)
\(182\) −12.0550 + 3.23013i −0.893578 + 0.239433i
\(183\) −11.2270 + 9.09144i −0.829923 + 0.672059i
\(184\) 16.3740 20.9578i 1.20711 1.54503i
\(185\) −2.37063 13.3752i −0.174292 0.983361i
\(186\) 22.2859 + 41.9137i 1.63408 + 3.07326i
\(187\) 7.04472 7.55453i 0.515161 0.552442i
\(188\) 8.45051 36.6032i 0.616317 2.66956i
\(189\) −3.77131 11.6069i −0.274323 0.844278i
\(190\) 11.4440 + 22.7915i 0.830238 + 1.65347i
\(191\) −2.04037 + 6.27960i −0.147636 + 0.454376i −0.997341 0.0728827i \(-0.976780\pi\)
0.849705 + 0.527259i \(0.176780\pi\)
\(192\) −19.3894 11.6503i −1.39931 0.840790i
\(193\) −20.7596 9.68035i −1.49431 0.696807i −0.507944 0.861390i \(-0.669594\pi\)
−0.986363 + 0.164584i \(0.947372\pi\)
\(194\) −6.58373 3.21110i −0.472684 0.230544i
\(195\) 6.72313 0.123315i 0.481453 0.00883077i
\(196\) 50.4360 14.4623i 3.60257 1.03302i
\(197\) 8.22706 + 21.4322i 0.586154 + 1.52698i 0.830341 + 0.557255i \(0.188145\pi\)
−0.244188 + 0.969728i \(0.578521\pi\)
\(198\) 19.0540 + 29.3406i 1.35411 + 2.08514i
\(199\) 14.6938 + 17.5114i 1.04162 + 1.24135i 0.969792 + 0.243935i \(0.0784383\pi\)
0.0718263 + 0.997417i \(0.477117\pi\)
\(200\) −21.4145 30.4680i −1.51424 2.15441i
\(201\) 11.9008 20.6127i 0.839414 1.45391i
\(202\) −0.721885 13.7744i −0.0507916 0.969162i
\(203\) 33.6252 + 18.6387i 2.36002 + 1.30818i
\(204\) −17.8523 36.6026i −1.24991 2.56270i
\(205\) 20.6772 + 5.52080i 1.44416 + 0.385589i
\(206\) 1.32004 + 0.378515i 0.0919714 + 0.0263724i
\(207\) 1.27159 + 14.5343i 0.0883816 + 1.01021i
\(208\) −1.73114 10.9300i −0.120033 0.757857i
\(209\) −14.1029 + 2.13570i −0.975518 + 0.147729i
\(210\) −65.7152 + 2.35316i −4.53478 + 0.162384i
\(211\) −15.5277 6.27361i −1.06897 0.431893i −0.228387 0.973570i \(-0.573345\pi\)
−0.840587 + 0.541677i \(0.817790\pi\)
\(212\) −11.8025 11.0061i −0.810602 0.755899i
\(213\) −7.31903 + 5.51529i −0.501492 + 0.377901i
\(214\) 0.886011 + 6.30430i 0.0605665 + 0.430953i
\(215\) 1.21958 + 3.74220i 0.0831749 + 0.255216i
\(216\) 21.0590 4.47622i 1.43288 0.304568i
\(217\) 10.3121 26.8638i 0.700028 1.82364i
\(218\) −0.400472 + 4.57741i −0.0271234 + 0.310021i
\(219\) 16.8394 1.17753i 1.13790 0.0795699i
\(220\) 33.9038 10.3983i 2.28580 0.701055i
\(221\) 1.45044 3.25774i 0.0975672 0.219140i
\(222\) 20.5132 37.0068i 1.37676 2.48374i
\(223\) −0.306783 0.231178i −0.0205437 0.0154808i 0.591493 0.806310i \(-0.298539\pi\)
−0.612037 + 0.790829i \(0.709650\pi\)
\(224\) 7.87048 + 44.6357i 0.525869 + 2.98235i
\(225\) 19.9905 + 4.21208i 1.33270 + 0.280805i
\(226\) 6.70632 + 5.62727i 0.446098 + 0.374321i
\(227\) 6.22687 + 3.17275i 0.413292 + 0.210583i 0.648258 0.761421i \(-0.275498\pi\)
−0.234966 + 0.972004i \(0.575498\pi\)
\(228\) −12.0648 + 54.9252i −0.799009 + 3.63751i
\(229\) 12.7531 + 17.5532i 0.842751 + 1.15995i 0.985414 + 0.170176i \(0.0544336\pi\)
−0.142663 + 0.989771i \(0.545566\pi\)
\(230\) 20.5119 + 3.96824i 1.35251 + 0.261658i
\(231\) 10.1372 35.3526i 0.666978 2.32603i
\(232\) −38.9008 + 55.5562i −2.55397 + 3.64744i
\(233\) −0.232727 + 13.3329i −0.0152464 + 0.873467i 0.891798 + 0.452433i \(0.149444\pi\)
−0.907045 + 0.421034i \(0.861667\pi\)
\(234\) 9.51735 + 7.43577i 0.622168 + 0.486091i
\(235\) 16.8135 4.20791i 1.09679 0.274494i
\(236\) −7.86642 + 37.0086i −0.512060 + 2.40905i
\(237\) −16.6199 + 39.1540i −1.07958 + 2.54333i
\(238\) −13.6259 + 32.1006i −0.883236 + 2.08077i
\(239\) −5.19050 + 24.4194i −0.335746 + 1.57956i 0.409207 + 0.912441i \(0.365805\pi\)
−0.744953 + 0.667117i \(0.767528\pi\)
\(240\) 4.01571 58.1684i 0.259213 3.75475i
\(241\) −10.9608 8.56353i −0.706048 0.551625i 0.197400 0.980323i \(-0.436750\pi\)
−0.903448 + 0.428698i \(0.858973\pi\)
\(242\) 0.0133318 0.763779i 0.000857002 0.0490976i
\(243\) 11.9410 17.0536i 0.766018 1.09399i
\(244\) −7.24990 + 25.2834i −0.464127 + 1.61860i
\(245\) 16.5253 + 17.6898i 1.05576 + 1.13016i
\(246\) 39.1842 + 53.9325i 2.49829 + 3.43861i
\(247\) −4.36343 + 2.28224i −0.277638 + 0.145215i
\(248\) 45.2293 + 23.0455i 2.87206 + 1.46339i
\(249\) −12.4017 10.4062i −0.785923 0.659468i
\(250\) 13.6653 25.8665i 0.864271 1.63594i
\(251\) −0.810757 4.59803i −0.0511745 0.290225i 0.948471 0.316865i \(-0.102630\pi\)
−0.999645 + 0.0266401i \(0.991519\pi\)
\(252\) −66.7717 50.3161i −4.20622 3.16962i
\(253\) −5.66488 + 10.2197i −0.356148 + 0.642508i
\(254\) 7.09826 15.9430i 0.445385 1.00035i
\(255\) 11.2943 15.0157i 0.707275 0.940319i
\(256\) 14.9575 1.04593i 0.934845 0.0653708i
\(257\) −0.969555 + 11.0821i −0.0604792 + 0.691280i 0.904071 + 0.427382i \(0.140564\pi\)
−0.964550 + 0.263899i \(0.914992\pi\)
\(258\) −4.39362 + 11.4458i −0.273535 + 0.712583i
\(259\) −25.0878 + 5.33257i −1.55888 + 0.331350i
\(260\) 9.89817 7.20486i 0.613859 0.446826i
\(261\) −5.17797 36.8432i −0.320509 2.28054i
\(262\) −27.5888 + 20.7897i −1.70444 + 1.28439i
\(263\) −11.4322 10.6607i −0.704940 0.657367i 0.245099 0.969498i \(-0.421179\pi\)
−0.950039 + 0.312131i \(0.898957\pi\)
\(264\) 60.1545 + 24.3040i 3.70225 + 1.49581i
\(265\) 2.04595 7.15904i 0.125682 0.439776i
\(266\) 42.2745 23.0596i 2.59202 1.41387i
\(267\) −3.90647 24.6645i −0.239072 1.50944i
\(268\) −3.77688 43.1700i −0.230710 2.63702i
\(269\) 7.24237 + 2.07672i 0.441575 + 0.126620i 0.489056 0.872253i \(-0.337341\pi\)
−0.0474807 + 0.998872i \(0.515119\pi\)
\(270\) 10.6549 + 13.1339i 0.648437 + 0.799303i
\(271\) 2.38826 + 4.89665i 0.145076 + 0.297450i 0.958942 0.283603i \(-0.0915297\pi\)
−0.813866 + 0.581053i \(0.802641\pi\)
\(272\) −27.0446 14.9911i −1.63982 0.908968i
\(273\) −0.664487 12.6792i −0.0402166 0.767378i
\(274\) 17.8643 30.9420i 1.07922 1.86927i
\(275\) 11.3866 + 11.7494i 0.686636 + 0.708513i
\(276\) 29.6114 + 35.2895i 1.78240 + 2.12418i
\(277\) 0.488297 + 0.751911i 0.0293389 + 0.0451780i 0.853036 0.521852i \(-0.174759\pi\)
−0.823697 + 0.567030i \(0.808092\pi\)
\(278\) −9.21354 24.0021i −0.552591 1.43955i
\(279\) −26.7681 + 7.67563i −1.60256 + 0.459528i
\(280\) −56.1203 + 42.3678i −3.35383 + 2.53196i
\(281\) 4.52454 + 2.20677i 0.269911 + 0.131645i 0.568357 0.822782i \(-0.307579\pi\)
−0.298446 + 0.954427i \(0.596468\pi\)
\(282\) 48.9297 + 22.8163i 2.91372 + 1.35869i
\(283\) −28.3477 17.0330i −1.68509 1.01251i −0.937266 0.348615i \(-0.886652\pi\)
−0.747829 0.663892i \(-0.768903\pi\)
\(284\) −5.15609 + 15.8688i −0.305958 + 0.941641i
\(285\) −25.1004 + 6.56721i −1.48682 + 0.389008i
\(286\) 2.98906 + 9.19938i 0.176747 + 0.543971i
\(287\) 9.09024 39.3742i 0.536580 2.32418i
\(288\) 29.9140 32.0788i 1.76270 1.89026i
\(289\) 3.30303 + 6.21210i 0.194296 + 0.365417i
\(290\) −52.7649 7.36792i −3.09846 0.432659i
\(291\) 4.58792 5.87227i 0.268949 0.344239i
\(292\) 23.8848 19.3415i 1.39775 1.13188i
\(293\) 10.3399 2.77058i 0.604066 0.161859i 0.0561919 0.998420i \(-0.482104\pi\)
0.547874 + 0.836561i \(0.315437\pi\)
\(294\) 5.26000 + 75.2215i 0.306769 + 4.38701i
\(295\) −16.8575 + 4.53298i −0.981482 + 0.263920i
\(296\) −4.72949 44.9981i −0.274896 2.61546i
\(297\) −8.83059 + 3.38975i −0.512403 + 0.196693i
\(298\) −13.8872 + 12.9500i −0.804463 + 0.750174i
\(299\) −0.700481 + 3.97263i −0.0405099 + 0.229743i
\(300\) 59.3329 25.3096i 3.42559 1.46125i
\(301\) 6.98352 2.54179i 0.402523 0.146506i
\(302\) −51.5025 + 21.8615i −2.96363 + 1.25799i
\(303\) 13.8596 + 2.19514i 0.796211 + 0.126108i
\(304\) 16.4166 + 39.4166i 0.941558 + 2.26070i
\(305\) −11.9102 + 2.32608i −0.681978 + 0.133191i
\(306\) 32.7454 8.16435i 1.87193 0.466725i
\(307\) 5.58643 11.9801i 0.318834 0.683743i −0.679938 0.733269i \(-0.737993\pi\)
0.998773 + 0.0495266i \(0.0157713\pi\)
\(308\) −21.7999 63.3115i −1.24217 3.60751i
\(309\) −0.655868 + 1.23351i −0.0373110 + 0.0701718i
\(310\) 0.0353524 + 39.8758i 0.00200788 + 2.26479i
\(311\) 11.7183 13.0145i 0.664483 0.737983i −0.312824 0.949811i \(-0.601275\pi\)
0.977307 + 0.211828i \(0.0679416\pi\)
\(312\) 22.3673 + 1.17222i 1.26630 + 0.0663639i
\(313\) −9.62289 4.08467i −0.543918 0.230879i 0.101330 0.994853i \(-0.467690\pi\)
−0.645248 + 0.763973i \(0.723246\pi\)
\(314\) −14.0035 8.75036i −0.790263 0.493811i
\(315\) 6.66469 37.9943i 0.375513 2.14073i
\(316\) 16.1013 + 75.7509i 0.905772 + 4.26132i
\(317\) −15.5937 3.03111i −0.875829 0.170244i −0.267145 0.963656i \(-0.586080\pi\)
−0.608684 + 0.793413i \(0.708302\pi\)
\(318\) 18.9983 13.3028i 1.06537 0.745981i
\(319\) 13.0622 26.7814i 0.731341 1.49947i
\(320\) −9.80090 16.2787i −0.547887 0.910009i
\(321\) −6.46081 0.451784i −0.360607 0.0252161i
\(322\) 6.17105 38.9625i 0.343899 2.17129i
\(323\) −2.48119 + 13.5339i −0.138057 + 0.753047i
\(324\) 22.1155i 1.22864i
\(325\) 5.03738 + 2.55543i 0.279423 + 0.141750i
\(326\) −12.8121 35.2011i −0.709599 1.94961i
\(327\) −4.47028 1.36670i −0.247207 0.0755787i
\(328\) 67.4031 + 23.2088i 3.72172 + 1.28149i
\(329\) −9.02049 31.4582i −0.497316 1.73435i
\(330\) 4.48691 + 50.7672i 0.246996 + 2.79464i
\(331\) 2.33545 + 5.24552i 0.128368 + 0.288320i 0.966283 0.257481i \(-0.0828924\pi\)
−0.837915 + 0.545800i \(0.816226\pi\)
\(332\) −29.3632 2.56894i −1.61151 0.140989i
\(333\) 18.7325 + 16.2840i 1.02654 + 0.892355i
\(334\) 5.14361 4.63133i 0.281446 0.253415i
\(335\) 16.9462 10.6100i 0.925869 0.579689i
\(336\) −110.026 3.84221i −6.00243 0.209610i
\(337\) −27.7707 + 8.49037i −1.51277 + 0.462500i −0.935283 0.353901i \(-0.884855\pi\)
−0.577486 + 0.816401i \(0.695966\pi\)
\(338\) −18.4615 24.4992i −1.00417 1.33258i
\(339\) −7.01818 + 5.48321i −0.381175 + 0.297807i
\(340\) 1.16357 34.1892i 0.0631032 1.85417i
\(341\) −21.2105 6.89171i −1.14861 0.373207i
\(342\) −42.4429 19.2429i −2.29505 1.04054i
\(343\) 11.4225 11.4225i 0.616755 0.616755i
\(344\) 3.17166 + 12.7208i 0.171004 + 0.685860i
\(345\) −8.28736 + 19.5720i −0.446176 + 1.05372i
\(346\) 24.0498 + 23.2246i 1.29293 + 1.24856i
\(347\) −2.11465 + 6.14140i −0.113520 + 0.329687i −0.987798 0.155738i \(-0.950224\pi\)
0.874278 + 0.485426i \(0.161335\pi\)
\(348\) −80.1178 85.9158i −4.29476 4.60557i
\(349\) 2.43010 1.40302i 0.130080 0.0751020i −0.433548 0.901131i \(-0.642738\pi\)
0.563628 + 0.826029i \(0.309405\pi\)
\(350\) −49.6898 24.1264i −2.65603 1.28961i
\(351\) −2.50149 + 2.09900i −0.133520 + 0.112036i
\(352\) 34.2281 7.90219i 1.82437 0.421188i
\(353\) 8.72043 + 7.06166i 0.464142 + 0.375854i 0.832677 0.553759i \(-0.186807\pi\)
−0.368535 + 0.929614i \(0.620141\pi\)
\(354\) −49.6741 22.1163i −2.64015 1.17547i
\(355\) −7.60242 + 1.21101i −0.403494 + 0.0642740i
\(356\) −31.5832 32.7054i −1.67391 1.73338i
\(357\) −29.0612 20.3489i −1.53808 1.07698i
\(358\) −7.62295 + 4.22547i −0.402886 + 0.223323i
\(359\) −4.33188 6.93245i −0.228628 0.365881i 0.713767 0.700383i \(-0.246987\pi\)
−0.942395 + 0.334502i \(0.891432\pi\)
\(360\) 65.4294 + 18.6988i 3.44843 + 0.985515i
\(361\) 14.2910 12.5207i 0.752156 0.658985i
\(362\) 26.8935 13.7029i 1.41349 0.720209i
\(363\) 0.757217 + 0.174817i 0.0397436 + 0.00917552i
\(364\) −14.2319 18.2159i −0.745952 0.954775i
\(365\) 12.9591 + 5.75601i 0.678311 + 0.301283i
\(366\) −33.3757 17.7462i −1.74458 0.927609i
\(367\) −0.0528637 + 0.271960i −0.00275946 + 0.0141962i −0.982981 0.183706i \(-0.941191\pi\)
0.980222 + 0.197902i \(0.0634128\pi\)
\(368\) 33.7867 + 9.05311i 1.76125 + 0.471926i
\(369\) −35.7254 + 15.9060i −1.85979 + 0.828032i
\(370\) 29.7914 19.3844i 1.54878 1.00774i
\(371\) −13.6411 3.40111i −0.708210 0.176577i
\(372\) −55.3335 + 68.3312i −2.86891 + 3.54281i
\(373\) −6.67824 + 0.349992i −0.345786 + 0.0181219i −0.224439 0.974488i \(-0.572055\pi\)
−0.121347 + 0.992610i \(0.538722\pi\)
\(374\) 25.3981 + 9.24415i 1.31330 + 0.478004i
\(375\) 22.8493 + 19.0695i 1.17993 + 0.984745i
\(376\) 56.8546 10.0250i 2.93205 0.517000i
\(377\) 1.25364 10.2101i 0.0645660 0.525848i
\(378\) 24.1004 20.9502i 1.23959 1.07756i
\(379\) 14.5748 10.5892i 0.748659 0.543933i −0.146752 0.989173i \(-0.546882\pi\)
0.895411 + 0.445241i \(0.146882\pi\)
\(380\) −30.5769 + 36.0067i −1.56856 + 1.84711i
\(381\) 14.3634 + 10.4357i 0.735861 + 0.534635i
\(382\) −17.2110 + 1.50576i −0.880589 + 0.0770416i
\(383\) 8.30759 + 14.9873i 0.424498 + 0.765814i 0.998596 0.0529721i \(-0.0168694\pi\)
−0.574098 + 0.818787i \(0.694647\pi\)
\(384\) 0.283362 2.01622i 0.0144602 0.102890i
\(385\) 21.4407 22.2420i 1.09272 1.13356i
\(386\) 2.09169 59.8981i 0.106464 3.04873i
\(387\) −6.03169 3.91703i −0.306608 0.199114i
\(388\) 0.710080 13.5491i 0.0360489 0.687853i
\(389\) 14.2328 22.7773i 0.721632 1.15485i −0.260283 0.965532i \(-0.583816\pi\)
0.981915 0.189321i \(-0.0606286\pi\)
\(390\) 7.17061 + 16.0671i 0.363098 + 0.813590i
\(391\) 7.54223 + 8.37650i 0.381427 + 0.423618i
\(392\) 50.7447 + 62.6644i 2.56299 + 3.16503i
\(393\) −14.8524 31.8510i −0.749202 1.60667i
\(394\) −43.2100 + 41.7275i −2.17689 + 2.10220i
\(395\) −27.7478 + 22.5105i −1.39614 + 1.13263i
\(396\) −36.2355 + 53.7213i −1.82090 + 2.69960i
\(397\) −2.74825 3.16150i −0.137931 0.158671i 0.681563 0.731760i \(-0.261301\pi\)
−0.819493 + 0.573089i \(0.805745\pi\)
\(398\) −27.1550 + 53.2946i −1.36116 + 2.67142i
\(399\) 14.0049 + 46.9448i 0.701122 + 2.35018i
\(400\) 25.8811 41.5822i 1.29405 2.07911i
\(401\) 4.86972 5.80351i 0.243182 0.289814i −0.630623 0.776089i \(-0.717201\pi\)
0.873805 + 0.486276i \(0.161645\pi\)
\(402\) 61.8145 + 7.58986i 3.08303 + 0.378548i
\(403\) −7.69813 + 0.134371i −0.383471 + 0.00669351i
\(404\) 22.9627 11.1997i 1.14244 0.557204i
\(405\) 9.08734 4.64038i 0.451553 0.230582i
\(406\) −10.5151 + 100.045i −0.521857 + 4.96514i
\(407\) 5.14496 + 19.2012i 0.255026 + 0.951770i
\(408\) 41.0596 47.2337i 2.03275 2.33841i
\(409\) 10.3298 + 25.5671i 0.510774 + 1.26421i 0.933703 + 0.358048i \(0.116558\pi\)
−0.422929 + 0.906163i \(0.638998\pi\)
\(410\) 7.84272 + 55.4471i 0.387324 + 2.73834i
\(411\) 27.0118 + 24.3215i 1.33239 + 1.19969i
\(412\) 0.309981 + 2.52459i 0.0152716 + 0.124378i
\(413\) 9.63674 + 31.5204i 0.474193 + 1.55102i
\(414\) −33.7071 + 17.9224i −1.65661 + 0.880836i
\(415\) −5.10553 12.6044i −0.250620 0.618728i
\(416\) 10.2846 6.42652i 0.504243 0.315086i
\(417\) 25.8333 4.09159i 1.26506 0.200366i
\(418\) −19.5626 31.7845i −0.956836 1.55463i
\(419\) 6.80155 9.36153i 0.332278 0.457341i −0.609889 0.792487i \(-0.708786\pi\)
0.942166 + 0.335146i \(0.108786\pi\)
\(420\) −51.5718 110.341i −2.51645 5.38407i
\(421\) 9.76490 + 6.58651i 0.475912 + 0.321007i 0.773619 0.633650i \(-0.218444\pi\)
−0.297708 + 0.954657i \(0.596222\pi\)
\(422\) −0.764773 43.8138i −0.0372286 2.13282i
\(423\) −19.0596 + 25.2930i −0.926711 + 1.22979i
\(424\) 8.48241 23.3052i 0.411942 1.13180i
\(425\) 14.2926 6.69562i 0.693292 0.324785i
\(426\) −20.7669 11.9898i −1.00616 0.580905i
\(427\) 5.15441 + 22.3262i 0.249439 + 1.08044i
\(428\) −10.1075 + 6.07321i −0.488566 + 0.293560i
\(429\) −9.78653 + 1.02861i −0.472498 + 0.0496616i
\(430\) −7.76651 + 6.76342i −0.374534 + 0.326161i
\(431\) −1.29326 + 0.872317i −0.0622943 + 0.0420180i −0.589945 0.807443i \(-0.700851\pi\)
0.527651 + 0.849461i \(0.323073\pi\)
\(432\) 16.2409 + 23.1945i 0.781393 + 1.11594i
\(433\) −3.79842 + 1.30790i −0.182540 + 0.0628536i −0.415318 0.909676i \(-0.636330\pi\)
0.232778 + 0.972530i \(0.425219\pi\)
\(434\) 75.2466 2.62767i 3.61195 0.126132i
\(435\) 18.4924 50.9479i 0.886641 2.44276i
\(436\) −8.09426 + 2.62999i −0.387645 + 0.125953i
\(437\) −0.980370 15.5338i −0.0468974 0.743083i
\(438\) 20.0525 + 39.3552i 0.958144 + 1.88046i
\(439\) 1.78074 4.40748i 0.0849899 0.210357i −0.878704 0.477367i \(-0.841591\pi\)
0.963694 + 0.267010i \(0.0860356\pi\)
\(440\) 35.0684 + 41.7177i 1.67182 + 1.98881i
\(441\) −43.8034 6.15617i −2.08588 0.293151i
\(442\) 9.32944 + 0.162846i 0.443756 + 0.00774580i
\(443\) −28.4643 + 13.2731i −1.35238 + 0.630626i −0.957587 0.288143i \(-0.906962\pi\)
−0.394795 + 0.918769i \(0.629184\pi\)
\(444\) 77.9421 + 8.19204i 3.69897 + 0.388777i
\(445\) 6.81180 19.8400i 0.322910 0.940507i
\(446\) 0.243161 0.975264i 0.0115140 0.0461801i
\(447\) −9.94920 16.5582i −0.470581 0.783178i
\(448\) −30.0899 + 19.5406i −1.42161 + 0.923206i
\(449\) −15.1708 26.2766i −0.715954 1.24007i −0.962590 0.270961i \(-0.912659\pi\)
0.246636 0.969108i \(-0.420675\pi\)
\(450\) 10.2928 + 52.4551i 0.485207 + 2.47276i
\(451\) −30.8437 5.43858i −1.45238 0.256093i
\(452\) −4.74090 + 15.5068i −0.222993 + 0.729378i
\(453\) −10.8608 55.8741i −0.510286 2.62519i
\(454\) −1.27558 + 18.2417i −0.0598660 + 0.856124i
\(455\) 4.49879 9.67006i 0.210907 0.453340i
\(456\) −84.9440 + 15.9141i −3.97787 + 0.745247i
\(457\) 28.8139 + 28.8139i 1.34786 + 1.34786i 0.887987 + 0.459868i \(0.152103\pi\)
0.459868 + 0.887987i \(0.347897\pi\)
\(458\) −29.2397 + 48.6630i −1.36628 + 2.27387i
\(459\) 0.318439 + 9.11891i 0.0148635 + 0.425634i
\(460\) 8.07915 + 37.8444i 0.376692 + 1.76451i
\(461\) −25.8926 + 3.63897i −1.20594 + 0.169484i −0.713369 0.700789i \(-0.752832\pi\)
−0.492571 + 0.870272i \(0.663943\pi\)
\(462\) 95.5137 11.7276i 4.44370 0.545617i
\(463\) 17.8216 27.4429i 0.828240 1.27538i −0.130601 0.991435i \(-0.541691\pi\)
0.958841 0.283943i \(-0.0916427\pi\)
\(464\) −87.2488 18.5453i −4.05043 0.860944i
\(465\) −39.6878 8.39914i −1.84048 0.389501i
\(466\) −32.3513 + 13.0708i −1.49865 + 0.605492i
\(467\) 11.6257 + 4.46269i 0.537973 + 0.206508i 0.612157 0.790736i \(-0.290302\pi\)
−0.0741843 + 0.997245i \(0.523635\pi\)
\(468\) −5.78995 + 21.6084i −0.267641 + 0.998849i
\(469\) −21.1104 31.2974i −0.974787 1.44518i
\(470\) 27.3249 + 36.1945i 1.26040 + 1.66953i
\(471\) 11.6694 12.0840i 0.537699 0.556803i
\(472\) −57.0774 + 11.0947i −2.62720 + 0.510676i
\(473\) −2.25058 5.30203i −0.103482 0.243788i
\(474\) −111.297 −5.11206
\(475\) −21.2111 5.00906i −0.973230 0.229831i
\(476\) −64.5925 −2.96059
\(477\) 5.31597 + 12.5236i 0.243402 + 0.573418i
\(478\) −64.1227 + 12.4642i −2.93290 + 0.570099i
\(479\) −18.2809 + 18.9304i −0.835275 + 0.864953i −0.992454 0.122618i \(-0.960871\pi\)
0.157179 + 0.987570i \(0.449760\pi\)
\(480\) 60.3981 20.8567i 2.75678 0.951972i
\(481\) 3.83755 + 5.68940i 0.174977 + 0.259414i
\(482\) 9.41981 35.1552i 0.429061 1.60128i
\(483\) 37.4663 + 14.3819i 1.70477 + 0.654401i
\(484\) 1.31188 0.530035i 0.0596310 0.0240925i
\(485\) 5.71637 2.55117i 0.259567 0.115843i
\(486\) 53.2832 + 11.3257i 2.41697 + 0.513744i
\(487\) 11.3721 17.5115i 0.515318 0.793520i −0.481225 0.876597i \(-0.659808\pi\)
0.996543 + 0.0830768i \(0.0264747\pi\)
\(488\) −40.1203 + 4.92615i −1.81616 + 0.222997i
\(489\) 37.7385 5.30380i 1.70659 0.239846i
\(490\) −25.7120 + 57.8882i −1.16155 + 2.61512i
\(491\) 0.723586 + 20.7208i 0.0326550 + 0.935116i 0.899601 + 0.436714i \(0.143858\pi\)
−0.866946 + 0.498403i \(0.833920\pi\)
\(492\) −63.5956 + 105.841i −2.86711 + 4.77167i
\(493\) −20.3249 20.3249i −0.915386 0.915386i
\(494\) −9.95804 8.17635i −0.448033 0.367871i
\(495\) −29.6773 3.61721i −1.33390 0.162582i
\(496\) −4.65705 + 66.5989i −0.209108 + 2.99038i
\(497\) 2.77354 + 14.2686i 0.124410 + 0.640035i
\(498\) 12.3850 40.5095i 0.554985 1.81527i
\(499\) 19.7621 + 3.48460i 0.884675 + 0.155992i 0.597483 0.801881i \(-0.296167\pi\)
0.287191 + 0.957873i \(0.407278\pi\)
\(500\) 53.9919 + 4.57902i 2.41459 + 0.204780i
\(501\) 3.52068 + 6.09800i 0.157292 + 0.272439i
\(502\) 10.2458 6.65372i 0.457293 0.296970i
\(503\) −1.87834 3.12608i −0.0837510 0.139385i 0.812454 0.583025i \(-0.198131\pi\)
−0.896205 + 0.443640i \(0.853687\pi\)
\(504\) 31.0841 124.672i 1.38460 5.55332i
\(505\) 9.42011 + 7.08548i 0.419190 + 0.315300i
\(506\) −30.4067 3.19587i −1.35174 0.142074i
\(507\) 28.2840 13.1890i 1.25614 0.585746i
\(508\) 32.3197 + 0.564143i 1.43396 + 0.0250298i
\(509\) 12.6240 + 1.77419i 0.559551 + 0.0786398i 0.413279 0.910605i \(-0.364384\pi\)
0.146272 + 0.989244i \(0.453272\pi\)
\(510\) 47.7136 + 11.8514i 2.11279 + 0.524789i
\(511\) 10.0298 24.8246i 0.443691 1.09817i
\(512\) 18.5060 + 36.3201i 0.817857 + 1.60514i
\(513\) 7.47490 10.1429i 0.330025 0.447819i
\(514\) −27.6833 + 8.99485i −1.22106 + 0.396746i
\(515\) −0.972319 + 0.657093i −0.0428455 + 0.0289550i
\(516\) −22.6947 + 0.792515i −0.999077 + 0.0348885i
\(517\) −23.9823 + 8.25776i −1.05474 + 0.363176i
\(518\) −38.4932 54.9740i −1.69129 2.41542i
\(519\) −28.1977 + 19.0196i −1.23774 + 0.834867i
\(520\) 16.1359 + 9.67597i 0.707607 + 0.424320i
\(521\) 25.8733 2.71939i 1.13353 0.119139i 0.480871 0.876791i \(-0.340321\pi\)
0.652658 + 0.757653i \(0.273654\pi\)
\(522\) 83.4459 50.1394i 3.65233 2.19454i
\(523\) −0.228517 0.989817i −0.00999237 0.0432817i 0.969134 0.246536i \(-0.0792925\pi\)
−0.979126 + 0.203255i \(0.934848\pi\)
\(524\) −55.4129 31.9926i −2.42072 1.39761i
\(525\) 34.5183 44.3432i 1.50650 1.93530i
\(526\) 13.9891 38.4347i 0.609953 1.67583i
\(527\) −12.9472 + 17.1816i −0.563990 + 0.748440i
\(528\) 1.48917 + 85.3146i 0.0648079 + 3.71284i
\(529\) 8.49719 + 5.73143i 0.369443 + 0.249193i
\(530\) 19.3349 2.39143i 0.839853 0.103877i
\(531\) 18.7488 25.8055i 0.813628 1.11986i
\(532\) 69.9114 + 55.3887i 3.03104 + 2.40141i
\(533\) −10.6793 + 1.69143i −0.462571 + 0.0732641i
\(534\) 55.4124 34.6255i 2.39793 1.49839i
\(535\) −4.61631 2.87890i −0.199580 0.124466i
\(536\) 58.8020 31.2656i 2.53986 1.35047i
\(537\) −2.59240 8.47935i −0.111870 0.365911i
\(538\) 2.40253 + 19.5670i 0.103580 + 0.843594i
\(539\) −26.3268 23.7047i −1.13397 1.02104i
\(540\) −14.6819 + 27.6718i −0.631809 + 1.19080i
\(541\) 9.79630 + 24.2467i 0.421176 + 1.04245i 0.977397 + 0.211413i \(0.0678064\pi\)
−0.556221 + 0.831034i \(0.687749\pi\)
\(542\) −9.35227 + 10.7586i −0.401714 + 0.462120i
\(543\) 7.94739 + 29.6601i 0.341055 + 1.27284i
\(544\) 3.54212 33.7010i 0.151867 1.44492i
\(545\) −2.77904 2.77412i −0.119041 0.118830i
\(546\) 29.8594 14.5634i 1.27787 0.623257i
\(547\) −36.9936 + 0.645725i −1.58173 + 0.0276092i −0.801544 0.597936i \(-0.795988\pi\)
−0.780188 + 0.625546i \(0.784876\pi\)
\(548\) 65.6845 + 8.06505i 2.80590 + 0.344522i
\(549\) 14.2534 16.9865i 0.608319 0.724967i
\(550\) −16.6579 + 39.4378i −0.710294 + 1.68163i
\(551\) 4.56975 + 39.4273i 0.194678 + 1.67966i
\(552\) −32.1409 + 63.0800i −1.36801 + 2.68486i
\(553\) 44.2612 + 50.9167i 1.88218 + 2.16520i
\(554\) −1.31181 + 1.94484i −0.0557336 + 0.0826284i
\(555\) 12.9880 + 33.7455i 0.551311 + 1.43242i
\(556\) 34.2552 33.0799i 1.45274 1.40290i
\(557\) 9.79065 + 20.9961i 0.414843 + 0.889634i 0.997062 + 0.0766016i \(0.0244070\pi\)
−0.582219 + 0.813032i \(0.697815\pi\)
\(558\) −45.8546 56.6257i −1.94118 2.39716i
\(559\) −1.33056 1.47774i −0.0562766 0.0625015i
\(560\) −80.1313 46.1691i −3.38616 1.95100i
\(561\) −14.5709 + 23.3184i −0.615185 + 0.984502i
\(562\) −0.689365 + 13.1539i −0.0290791 + 0.554863i
\(563\) −6.38979 4.14958i −0.269298 0.174884i 0.402925 0.915233i \(-0.367994\pi\)
−0.672223 + 0.740349i \(0.734660\pi\)
\(564\) −3.48989 + 99.9373i −0.146951 + 4.20812i
\(565\) −7.36655 + 1.30566i −0.309913 + 0.0549293i
\(566\) 12.0432 85.6919i 0.506214 3.60190i
\(567\) −9.34040 16.8505i −0.392260 0.707656i
\(568\) −25.5448 + 2.23488i −1.07183 + 0.0937734i
\(569\) 11.9476 + 8.68044i 0.500870 + 0.363903i 0.809349 0.587328i \(-0.199820\pi\)
−0.308480 + 0.951231i \(0.599820\pi\)
\(570\) −41.4799 53.7422i −1.73740 2.25101i
\(571\) 8.08688 5.87546i 0.338425 0.245880i −0.405572 0.914063i \(-0.632928\pi\)
0.743997 + 0.668183i \(0.232928\pi\)
\(572\) −13.5216 + 11.7541i −0.565366 + 0.491465i
\(573\) 2.14199 17.4451i 0.0894829 0.728780i
\(574\) 104.130 18.3609i 4.34628 0.766367i
\(575\) −13.8552 + 11.2604i −0.577801 + 0.469593i
\(576\) 32.6268 + 11.8752i 1.35945 + 0.494799i
\(577\) −37.4695 + 1.96370i −1.55988 + 0.0817497i −0.812624 0.582789i \(-0.801962\pi\)
−0.747254 + 0.664538i \(0.768628\pi\)
\(578\) −11.5854 + 14.3067i −0.481888 + 0.595082i
\(579\) 59.1622 + 14.7508i 2.45870 + 0.613022i
\(580\) −25.6250 95.2958i −1.06402 3.95694i
\(581\) −23.4577 + 10.4440i −0.973190 + 0.433292i
\(582\) 18.8344 + 5.04668i 0.780713 + 0.209191i
\(583\) −2.07908 + 10.6960i −0.0861069 + 0.442981i
\(584\) 41.7036 + 22.1742i 1.72571 + 0.917575i
\(585\) −10.0938 + 2.15486i −0.417329 + 0.0890927i
\(586\) 17.2445 + 22.0720i 0.712365 + 0.911785i
\(587\) −8.16054 1.88401i −0.336821 0.0777613i 0.0531548 0.998586i \(-0.483072\pi\)
−0.389976 + 0.920825i \(0.627517\pi\)
\(588\) −124.445 + 63.4079i −5.13202 + 2.61490i
\(589\) 28.7467 7.49400i 1.18449 0.308785i
\(590\) −28.1528 35.9682i −1.15903 1.48079i
\(591\) −32.3834 51.8243i −1.33208 2.13177i
\(592\) 52.0459 28.8495i 2.13907 1.18571i
\(593\) −1.79102 1.25408i −0.0735483 0.0514991i 0.536224 0.844076i \(-0.319850\pi\)
−0.609772 + 0.792577i \(0.708739\pi\)
\(594\) −17.1927 17.8036i −0.705426 0.730490i
\(595\) −13.5531 26.5413i −0.555623 1.08809i
\(596\) −32.1301 14.3052i −1.31610 0.585966i
\(597\) −47.2898 38.2945i −1.93544 1.56729i
\(598\) −10.2845 + 2.37437i −0.420566 + 0.0970954i
\(599\) −24.1712 + 20.2820i −0.987607 + 0.828701i −0.985220 0.171296i \(-0.945205\pi\)
−0.00238784 + 0.999997i \(0.500760\pi\)
\(600\) 71.4321 + 68.7368i 2.91620 + 2.80617i
\(601\) 5.65590 3.26544i 0.230709 0.133200i −0.380190 0.924908i \(-0.624141\pi\)
0.610899 + 0.791708i \(0.290808\pi\)
\(602\) 13.2619 + 14.2217i 0.540516 + 0.579632i
\(603\) −11.8942 + 34.5433i −0.484370 + 1.40671i
\(604\) −74.5472 71.9894i −3.03328 2.92921i
\(605\) 0.493058 + 0.427842i 0.0200457 + 0.0173943i
\(606\) 8.88260 + 35.6262i 0.360831 + 1.44721i
\(607\) −25.6632 + 25.6632i −1.04164 + 1.04164i −0.0425432 + 0.999095i \(0.513546\pi\)
−0.999095 + 0.0425432i \(0.986454\pi\)
\(608\) −32.7328 + 33.4387i −1.32749 + 1.35612i
\(609\) −97.3304 31.6246i −3.94403 1.28149i
\(610\) −17.7793 26.3086i −0.719865 1.06520i
\(611\) −6.90016 + 5.39099i −0.279150 + 0.218096i
\(612\) 37.6188 + 49.9218i 1.52065 + 2.01797i
\(613\) 8.92958 2.73005i 0.360662 0.110266i −0.106795 0.994281i \(-0.534059\pi\)
0.467458 + 0.884015i \(0.345170\pi\)
\(614\) 34.5666 + 1.20709i 1.39499 + 0.0487143i
\(615\) −56.8342 3.92361i −2.29178 0.158215i
\(616\) 76.4726 68.8562i 3.08117 2.77430i
\(617\) −10.6197 9.23160i −0.427535 0.371650i 0.415425 0.909628i \(-0.363633\pi\)
−0.842959 + 0.537977i \(0.819189\pi\)
\(618\) −3.64155 0.318594i −0.146485 0.0128157i
\(619\) 2.61453 + 5.87234i 0.105087 + 0.236029i 0.958434 0.285314i \(-0.0920979\pi\)
−0.853347 + 0.521343i \(0.825431\pi\)
\(620\) −67.9621 + 28.9193i −2.72942 + 1.16143i
\(621\) −2.84502 9.92176i −0.114167 0.398146i
\(622\) 43.3270 + 14.9187i 1.73725 + 0.598184i
\(623\) −37.8772 11.5802i −1.51752 0.463952i
\(624\) 10.0751 + 27.6810i 0.403326 + 1.10813i
\(625\) 9.44731 + 23.1462i 0.377892 + 0.925850i
\(626\) 27.3536i 1.09327i
\(627\) 35.7665 12.7438i 1.42838 0.508938i
\(628\) 4.78458 30.2086i 0.190926 1.20546i
\(629\) 19.1292 + 1.33764i 0.762730 + 0.0533353i
\(630\) 98.3261 22.7922i 3.91740 0.908063i
\(631\) −7.25045 + 14.8656i −0.288636 + 0.591791i −0.993009 0.118039i \(-0.962339\pi\)
0.704373 + 0.709830i \(0.251228\pi\)
\(632\) −97.4916 + 68.2644i −3.87801 + 2.71541i
\(633\) 43.7609 + 8.50625i 1.73934 + 0.338093i
\(634\) −8.64204 40.6576i −0.343219 1.61472i
\(635\) 6.54967 + 13.3986i 0.259916 + 0.531709i
\(636\) 36.4306 + 22.7643i 1.44457 + 0.902665i
\(637\) −11.2579 4.77869i −0.446054 0.189339i
\(638\) 77.8597 + 4.08045i 3.08250 + 0.161547i
\(639\) 9.41251 10.4537i 0.372353 0.413540i
\(640\) 1.00407 1.38456i 0.0396892 0.0547294i
\(641\) 0.0858205 0.161405i 0.00338971 0.00637511i −0.881247 0.472656i \(-0.843295\pi\)
0.884637 + 0.466281i \(0.154406\pi\)
\(642\) −5.51726 16.0233i −0.217749 0.632388i
\(643\) −6.89410 + 14.7845i −0.271877 + 0.583042i −0.994081 0.108638i \(-0.965351\pi\)
0.722205 + 0.691680i \(0.243129\pi\)
\(644\) 70.8967 17.6765i 2.79372 0.696553i
\(645\) −5.08755 9.15902i −0.200322 0.360636i
\(646\) −35.1342 + 7.86068i −1.38234 + 0.309274i
\(647\) 10.2360 + 1.62122i 0.402419 + 0.0637369i 0.354364 0.935108i \(-0.384698\pi\)
0.0480556 + 0.998845i \(0.484698\pi\)
\(648\) 31.2855 13.2799i 1.22901 0.521684i
\(649\) 24.0054 8.73725i 0.942294 0.342967i
\(650\) −1.00484 + 14.7456i −0.0394130 + 0.578368i
\(651\) −13.3010 + 75.4336i −0.521307 + 2.95648i
\(652\) 50.7449 47.3204i 1.98732 1.85321i
\(653\) 26.1720 10.0465i 1.02419 0.393150i 0.212452 0.977171i \(-0.431855\pi\)
0.811738 + 0.584022i \(0.198522\pi\)
\(654\) −1.27852 12.1643i −0.0499941 0.475662i
\(655\) 1.51889 29.4822i 0.0593478 1.15196i
\(656\) 6.54006 + 93.5273i 0.255347 + 3.65163i
\(657\) −25.0276 + 6.70613i −0.976420 + 0.261631i
\(658\) 66.5472 53.8888i 2.59428 2.10081i
\(659\) 6.90273 8.83509i 0.268892 0.344166i −0.634546 0.772885i \(-0.718813\pi\)
0.903438 + 0.428719i \(0.141035\pi\)
\(660\) −83.3101 + 44.3916i −3.24284 + 1.72794i
\(661\) 14.6432 + 27.5399i 0.569555 + 1.07118i 0.986733 + 0.162352i \(0.0519079\pi\)
−0.417178 + 0.908825i \(0.636981\pi\)
\(662\) −10.2465 + 10.9881i −0.398242 + 0.427063i
\(663\) −2.13536 + 9.24928i −0.0829307 + 0.359212i
\(664\) −13.9978 43.0809i −0.543221 1.67186i
\(665\) −8.09026 + 40.3487i −0.313727 + 1.56466i
\(666\) −20.0694 + 61.7673i −0.777673 + 2.39343i
\(667\) 27.8707 + 16.7464i 1.07916 + 0.648423i
\(668\) 11.6189 + 5.41799i 0.449549 + 0.209628i
\(669\) 0.919052 + 0.448252i 0.0355326 + 0.0173304i
\(670\) 42.8806 + 29.9687i 1.65662 + 1.15779i
\(671\) 17.0711 4.89505i 0.659021 0.188971i
\(672\) −43.2372 112.637i −1.66791 4.34506i
\(673\) 16.5919 + 25.5493i 0.639571 + 0.984852i 0.998670 + 0.0515530i \(0.0164171\pi\)
−0.359100 + 0.933299i \(0.616916\pi\)
\(674\) −48.8420 58.2077i −1.88132 2.24208i
\(675\) −14.4510 0.226613i −0.556221 0.00872236i
\(676\) 28.4098 49.2072i 1.09268 1.89258i
\(677\) 0.833979 + 15.9133i 0.0320524 + 0.611597i 0.966683 + 0.255976i \(0.0823970\pi\)
−0.934631 + 0.355620i \(0.884270\pi\)
\(678\) −20.3820 11.2979i −0.782766 0.433894i
\(679\) −5.18139 10.6234i −0.198843 0.407689i
\(680\) 49.0640 18.8838i 1.88152 0.724162i
\(681\) −17.8825 5.12772i −0.685258 0.196494i
\(682\) −5.08599 58.1331i −0.194753 2.22603i
\(683\) −4.45218 28.1099i −0.170358 1.07560i −0.913612 0.406588i \(-0.866719\pi\)
0.743254 0.669010i \(-0.233281\pi\)
\(684\) 2.09194 86.2911i 0.0799872 3.29942i
\(685\) 10.4683 + 28.6822i 0.399972 + 1.09589i
\(686\) 39.1900 + 15.8338i 1.49628 + 0.604537i
\(687\) −42.2399 39.3894i −1.61155 1.50280i
\(688\) −13.7704 + 10.3767i −0.524992 + 0.395610i
\(689\) 0.523522 + 3.72506i 0.0199446 + 0.141913i
\(690\) −55.6136 + 0.0493050i −2.11717 + 0.00187701i
\(691\) −20.8603 + 4.43399i −0.793563 + 0.168677i −0.586819 0.809718i \(-0.699620\pi\)
−0.206744 + 0.978395i \(0.566287\pi\)
\(692\) −22.1923 + 57.8128i −0.843623 + 2.19771i
\(693\) −4.92000 + 56.2359i −0.186895 + 2.13622i
\(694\) −16.9540 + 1.18554i −0.643566 + 0.0450025i
\(695\) 20.7802 + 7.13460i 0.788238 + 0.270631i
\(696\) 73.4308 164.928i 2.78339 6.25159i
\(697\) −14.6473 + 26.4244i −0.554805 + 1.00089i
\(698\) 5.86378 + 4.41868i 0.221947 + 0.167249i
\(699\) −6.16394 34.9574i −0.233142 1.32221i
\(700\) 5.17344 102.181i 0.195537 3.86209i
\(701\) −12.9975 10.9062i −0.490911 0.411923i 0.363442 0.931617i \(-0.381602\pi\)
−0.854352 + 0.519694i \(0.826046\pi\)
\(702\) −7.61309 3.87906i −0.287337 0.146406i
\(703\) −19.5573 17.8512i −0.737618 0.673272i
\(704\) 16.3446 + 22.4965i 0.616012 + 0.847868i
\(705\) −41.7968 + 19.5353i −1.57416 + 0.735742i
\(706\) −8.09298 + 28.2236i −0.304583 + 1.06221i
\(707\) 12.7659 18.2316i 0.480111 0.685669i
\(708\) 1.75772 100.700i 0.0660593 3.78453i
\(709\) 15.8442 + 12.3788i 0.595041 + 0.464897i 0.867614 0.497238i \(-0.165652\pi\)
−0.272573 + 0.962135i \(0.587875\pi\)
\(710\) −10.6894 17.0729i −0.401166 0.640735i
\(711\) 13.5743 63.8622i 0.509077 2.39502i
\(712\) 27.3012 64.3177i 1.02316 2.41041i
\(713\) 9.50892 22.4016i 0.356112 0.838947i
\(714\) 19.3003 90.8006i 0.722294 3.39813i
\(715\) −7.66697 3.08975i −0.286728 0.115550i
\(716\) −12.7213 9.93897i −0.475417 0.371437i
\(717\) 1.15980 66.4448i 0.0433135 2.48143i
\(718\) 12.2685 17.5213i 0.457858 0.653888i
\(719\) −2.94572 + 10.2730i −0.109857 + 0.383117i −0.996910 0.0785504i \(-0.974971\pi\)
0.887053 + 0.461667i \(0.152749\pi\)
\(720\) 10.9857 + 88.8203i 0.409413 + 3.31014i
\(721\) 1.30243 + 1.79265i 0.0485052 + 0.0667616i
\(722\) 44.7680 + 21.6200i 1.66609 + 0.804612i
\(723\) 32.9905 + 16.8095i 1.22693 + 0.625152i
\(724\) 42.8268 + 35.9359i 1.59164 + 1.33555i
\(725\) 33.7806 30.5248i 1.25458 1.13366i
\(726\) 0.353103 + 2.00255i 0.0131049 + 0.0743215i
\(727\) 32.3988 + 24.4142i 1.20160 + 0.905473i 0.997300 0.0734344i \(-0.0233959\pi\)
0.204303 + 0.978908i \(0.434507\pi\)
\(728\) 17.2231 31.0712i 0.638329 1.15158i
\(729\) −16.9724 + 38.1205i −0.628606 + 1.41187i
\(730\) −0.614647 + 37.0979i −0.0227491 + 1.37306i
\(731\) −5.54277 + 0.387588i −0.205007 + 0.0143355i
\(732\) 6.10221 69.7486i 0.225544 2.57798i
\(733\) −3.16606 + 8.24788i −0.116941 + 0.304642i −0.979541 0.201245i \(-0.935501\pi\)
0.862600 + 0.505887i \(0.168835\pi\)
\(734\) −0.709084 + 0.150721i −0.0261728 + 0.00556320i
\(735\) −52.1661 37.8303i −1.92417 1.39539i
\(736\) 5.33487 + 37.9595i 0.196646 + 1.39921i
\(737\) −23.3674 + 17.6086i −0.860751 + 0.648622i
\(738\) −74.8358 69.7855i −2.75474 2.56884i
\(739\) −22.9770 9.28330i −0.845222 0.341492i −0.0891805 0.996015i \(-0.528425\pi\)
−0.756042 + 0.654524i \(0.772869\pi\)
\(740\) 54.6109 + 36.7651i 2.00754 + 1.35151i
\(741\) 10.2426 8.17982i 0.376270 0.300493i
\(742\) −5.75457 36.3329i −0.211257 1.33382i
\(743\) 4.16188 + 47.5705i 0.152684 + 1.74519i 0.556947 + 0.830548i \(0.311973\pi\)
−0.404263 + 0.914643i \(0.632472\pi\)
\(744\) −129.891 37.2455i −4.76202 1.36549i
\(745\) −0.863619 16.2039i −0.0316405 0.593667i
\(746\) −7.67070 15.7273i −0.280844 0.575816i
\(747\) 21.7337 + 12.0472i 0.795196 + 0.440784i
\(748\) 2.62006 + 49.9936i 0.0957987 + 1.82795i
\(749\) −5.13625 + 8.89625i −0.187675 + 0.325062i
\(750\) −22.5697 + 74.5307i −0.824130 + 2.72148i
\(751\) 0.539914 + 0.643444i 0.0197017 + 0.0234796i 0.775805 0.630972i \(-0.217344\pi\)
−0.756104 + 0.654452i \(0.772899\pi\)
\(752\) 41.3534 + 63.6786i 1.50800 + 2.32212i
\(753\) 4.45396 + 11.6030i 0.162311 + 0.422836i
\(754\) 25.8736 7.41913i 0.942261 0.270189i
\(755\) 13.9388 45.7368i 0.507285 1.66453i
\(756\) 53.1619 + 25.9288i 1.93348 + 0.943021i
\(757\) −16.1933 7.55106i −0.588556 0.274448i 0.105442 0.994425i \(-0.466374\pi\)
−0.693998 + 0.719977i \(0.744152\pi\)
\(758\) 40.4061 + 24.2784i 1.46761 + 0.881832i
\(759\) 9.61167 29.5817i 0.348882 1.07375i
\(760\) −69.2973 21.6341i −2.51368 0.784750i
\(761\) 4.92938 + 15.1711i 0.178690 + 0.549951i 0.999783 0.0208435i \(-0.00663518\pi\)
−0.821093 + 0.570795i \(0.806635\pi\)
\(762\) −10.4502 + 45.2647i −0.378570 + 1.63977i
\(763\) −5.05652 + 5.42245i −0.183058 + 0.196306i
\(764\) −15.0233 28.2547i −0.543524 1.02222i
\(765\) −12.6197 + 25.9325i −0.456265 + 0.937591i
\(766\) −27.6046 + 35.3322i −0.997393 + 1.27660i
\(767\) 6.85381 5.55011i 0.247477 0.200403i
\(768\) −38.5532 + 10.3303i −1.39117 + 0.372762i
\(769\) −0.270712 3.87136i −0.00976211 0.139605i −1.00000 0.000216863i \(-0.999931\pi\)
0.990238 0.139388i \(-0.0445135\pi\)
\(770\) 75.4922 + 28.9020i 2.72055 + 1.04155i
\(771\) −3.09534 29.4502i −0.111476 1.06062i
\(772\) 103.639 39.7834i 3.73006 1.43184i
\(773\) 27.8921 26.0